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131714209557 = 32726125119507
BaseRepresentation
bin111101010101011000…
…1110101011100010101
3110120222101112010001200
41322222301311130111
54124222314201212
6140301512343113
712342000210600
oct1725261653425
9416871463050
10131714209557
1150950268147
122163a9a4a99
13c561087a08
14653700d337
15365d5c26dc
hex1eaac75715

131714209557 has 72 divisors (see below), whose sum is σ = 225851607072. Its totient is φ = 73732680000.

The previous prime is 131714209531. The next prime is 131714209559. The reversal of 131714209557 is 755902417131.

131714209557 is a `hidden beast` number, since 1 + 3 + 1 + 71 + 4 + 20 + 9 + 557 = 666.

It is not a de Polignac number, because 131714209557 - 230 = 130640467733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131714209559) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6742398 + ... + 6761904.

It is an arithmetic number, because the mean of its divisors is an integer number (3136827876).

Almost surely, 2131714209557 is an apocalyptic number.

It is an amenable number.

131714209557 is a deficient number, since it is larger than the sum of its proper divisors (94137397515).

131714209557 is a wasteful number, since it uses less digits than its factorization.

131714209557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19839 (or 19829 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 131714209557 in words is "one hundred thirty-one billion, seven hundred fourteen million, two hundred nine thousand, five hundred fifty-seven".

Divisors: 1 3 7 9 21 49 61 63 147 183 251 427 441 549 753 1281 1757 2259 2989 3843 5271 8967 12299 15311 15813 19507 26901 36897 45933 58521 107177 110691 136549 137799 175563 321531 409647 750239 955843 964593 1189927 1228941 2250717 2867529 3569781 4896257 6752151 8329489 8602587 10709343 14688771 24988467 34273799 44066313 58306423 74965401 102821397 174919269 239916593 298671677 308464191 524757807 719749779 896015031 2090701739 2159249337 2688045093 6272105217 14634912173 18816315651 43904736519 131714209557